**Significance of Double Stratification in Stagnation Point Flow of Third-Grade Fluid towards a Radiative Stretching Cylinder**

### **Anum Shafiq 1, Ilyas Khan 2,\*, Ghulam Rasool 3, Asiful H. Seikh 4 and El-Sayed M. Sherif 4,5**


Received: 14 October 2019; Accepted: 7 November 2019; Published: 14 November 2019

**Abstract:** The present article is devoted to examine the significance of double stratification in third grade stagnation point flow towards a radiative stretching cylinder. The stagnation point is discussed categorically. Analysis is scrutinized in the presence of Thermophoresis, Brownian diffusion, double stratification and heat source/sink. Suitable typical transformations are used to drive the system of ordinary differential equation. The governing system is subjected to optimal homotopy analysis method (OHAM) for convergen<sup>t</sup> series solutions. The impact of pertinent fluid parameters on the velocity field, temperature distribution and concentration of the nanoparticles is shown graphically. Numerical data is compiled in tabulare form for skin friction, Nusselt and Sherwood numbers to analyze the variation caused by the present model and to see the impact for industrial and engineering point of view.

**Keywords:** third-grade liquid; heat generation/absorption; stretched cylinder; series solution
